Physics Elasticity ( Mechanical Properties of Solids ) Young’s Modulus and Breaking Stress MCQ (Single Correct)

The length of an elastic string is a meter when the longitudinal tension is 4 N and b meter when the longitudinal tension is 5 N. The length of the string in meter when the longitudinal tension is 9 N is

A
B
C
D

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Text Solution

Verified by Experts
The correct answer is:
B

Let L is the original length of the wire and K is force constant of wire.

Final length = initial length + elongation

For first condition …(i)

For second condition …(ii)

By solving (i) and (ii) equation we get

and

Now when the longitudinal tension is 9N, length of the string = = .

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